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Finding the Fourth Proportional to 504.51, 756.34 and 350.73

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Solution

The fourth proportional to 504.51, 756.34 and 350.73 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 756.34 = 350.73 : x
  2. Step 2: Convert to fraction form
    504.51/756.34 = 350.73/x
  3. Step 3: Cross multiply
    504.51x = 756.34 × 350.73
  4. Step 4: Simplify right side
    504.51x = 265,270.25
  5. Step 5: Solve for x
    x = 265,270.25/504.51
  6. Step 6: Final answer
    x = 525.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.